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Finding the Fourth Proportional to 378.56, 568.07 and 248.26

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Solution

The fourth proportional to 378.56, 568.07 and 248.26 is: 372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 568.07 = 248.26 : x
  2. Step 2: Convert to fraction form
    378.56/568.07 = 248.26/x
  3. Step 3: Cross multiply
    378.56x = 568.07 × 248.26
  4. Step 4: Simplify right side
    378.56x = 141,028.26
  5. Step 5: Solve for x
    x = 141,028.26/378.56
  6. Step 6: Final answer
    x = 372.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.